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Finding the Third Proportional to 272,898,855 and 445,572,063

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Solution

The third proportional to 272,898,855 and 445,572,063 is: 727,502,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,898,855 : 445,572,063 = 445,572,063 : x
  2. Step 2: Convert to fraction form
    272,898,855/445,572,063 = 445,572,063/x
  3. Step 3: Cross multiply
    272,898,855x = 445,572,063 × 445,572,063
  4. Step 4: Simplify right side
    272,898,855x = 198,534,463,326,075,968
  5. Step 5: Solve for x
    x = 198,534,463,326,075,968/272,898,855
  6. Step 6: Final answer
    x = 727,502,001.89

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.